Exam in Intermediate Algebra

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  • Topic: Quadratic equation, Irrational number, Real number
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Kitub – Bao High School
Bao, Alamada, Cotabato

Mathematics II – First Grading

Name:____________________________________________________________ Yr. & Sec.:_______________

Multiple Choice. Solve the following problem. Write the letter of your answer in the space provided.

_______. Which of the following is not a special product?
a. (2x-3)2 b. (x-3)(x-3)2 c. (x+1)(x-1)d. (5x+2)2

_______. All of the following are special products, except
a. Square of a Binomial
b. Sum and Difference of Two Squares
c. Perfect Square Trinomial
d. Product of Two Cubes

_______. Among the four, which is not a Perfect Square Trinomial? a. x2+4x+4 b. x2-6x+9 c. 9x2-12x+9d. x2+2x+2

_______. What is the constant multiple in getting the middle term of the product of a square of a binomial? a. 1b. 2 c. 3d. 4

_______. Which is the product of the Square of a Binomial (2x+1)2 a. 4x2+2x+1b. 4x2+8x+2 c. 4x2+4x+1d. 4x2+4x+2

_______. The Greatest Common Factor (GCF) of 125x3y5 + 75x5y3 is a. 5x3y3 b. 15x3y3 c. 25x3y3d. 50x3y3

_______. 2*2*2*5*a*a*b*b*b*c is the Common factors of
a. 40a4b3c + 80a2b4c5
b. 36a4b3c + 72a2b4c5
c. 40a3b2c + 80ab3c
d. 36a3b2c + 72ab3c

_______. Known as the second degree equation
a. Linear b. Quadratic c. Cubic d. Power of Two

_______. It is a number that if substituted to a variable in a quadratic equation, it becomes a true statement. a. Quadrant b. Roots c. Radicalsd. Discriminant

_______. Which of the following is not a Quadratic Equation? a. (x-2)2 – 5 = 0b. x(x+3) + 8 = 0c. x2 = 0d. x( 1x ) + 3x – 9 = 0

_______. In the quadratic equation, 30x2 = 15 + 5x, if both sides are divided by five (5), what is now the value of “b”? a. 25b. 10c. 5d. 1

_______. All of the following are methods of finding the roots of a quadratic equation, except a. Extracting the Square Root
b. Completing the Square
c. Factoring
d. Using the Discriminant of Quadratic Equation

_______. By using the method of Extracting the Square Root, which equation will yield a root of ±11? a. x2 = 121 b. x2 + 121 = 0c. x2 = 121 d. x2 = -121

_______. The correct Quadratic Formula is
a. –b ± b2- 4ac4ab. b ± b2- 4ac2ac. –b ± b2- 4ac2ad. –b ± b2+ 4ac2a

_______. What are the factors of the quadratic equation x2 – 6x = -8? a. (x-4)(x-2) b. (x-4)(x+2)c. (x+4)(x-2) d. (x+4)(x+2)

_______. Solve for the roots of (x+2)2 = 9
a. x1= 2 ; x2 = -3 b. x1= -2 ; x2 = 3 c. x1= 1; x2 = -5 d. x1= -1; x2 = 5

_______. In the Completing the Square, what formula is to be used in getting the constant that will be added to both sides of the equation so that the left side becomes a perfect square trinomial? a. -b22 b. -b22 c. b2 2 d. -b2 2

_______. Using completing the square, supply the missing term: x2 – 2x + ___ = 2 + ___ a. – 1b. 0c. 1d. 2

_______. Complete the Perfect Square, b2 – 3b + ___
a. 34 b. 54c. 74 d. 94

_______. It is the Radicand in the quadratic Formula
a. Rootsb. Determinantsc. Discriminantsd. Radicals

_______. What is the formula of the discriminant in the Quadratic Formula? a. b2+ 4ac b. b2- 4ac c. -b2+ 4ac d. -b2- 4ac

_______. If b2 – 4ac = 0, then the roots are?
a. Real, Rational and Equal
b. Real, Rational, and Unequal
c. Real, Irrational, and Unequal
d. Not Real

_______. If b2 – 4ac < 0, then the roots are?
a. Real, Rational and Equal
b. Real, Rational, and Unequal
c. Real, Irrational, and Unequal
d. Not Real
_______. If b2 – 4ac > 0 and is a perfect square, then the roots are?
a. Real, Rational and Equal
b. Real, Rational,...
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